6(x+1)=4-2(6x+5)

Solution for 6(x+1)=4-2(6x+5) equation:

Simplifying
6(x + 1) = 4 + -2(6x + 5)

Reorder the terms:
6(1 + x) = 4 + -2(6x + 5)
(1 * 6 + x * 6) = 4 + -2(6x + 5)
(6 + 6x) = 4 + -2(6x + 5)

Reorder the terms:
6 + 6x = 4 + -2(5 + 6x)
6 + 6x = 4 + (5 * -2 + 6x * -2)
6 + 6x = 4 + (-10 + -12x)

Combine like terms: 4 + -10 = -6
6 + 6x = -6 + -12x

Solving
6 + 6x = -6 + -12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12x' to each side of the equation.
6 + 6x + 12x = -6 + -12x + 12x

Combine like terms: 6x + 12x = 18x
6 + 18x = -6 + -12x + 12x

Combine like terms: -12x + 12x = 0
6 + 18x = -6 + 0
6 + 18x = -6

Add '-6' to each side of the equation.
6 + -6 + 18x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = -6 + -6
18x = -6 + -6

Combine like terms: -6 + -6 = -12
18x = -12

Divide each side by '18'.
x = -0.6666666667

Simplifying
x = -0.6666666667